The lateral shift can be derived as:X= l•sin(i-r)/cos(r) where l is the length of the glassslab.Here you can see that lateral shift (x) depends on angle of refraction (r) also. And r is dependent on refractive index (n) i.e. r = asin( sin(i)/ n) (Snell's Law).HENCE, lateral shift also depends on the refractive index of the glass SLAB.
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